x^2-35x+125=0

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Solution for x^2-35x+125=0 equation:



x^2-35x+125=0
a = 1; b = -35; c = +125;
Δ = b2-4ac
Δ = -352-4·1·125
Δ = 725
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{725}=\sqrt{25*29}=\sqrt{25}*\sqrt{29}=5\sqrt{29}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-5\sqrt{29}}{2*1}=\frac{35-5\sqrt{29}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+5\sqrt{29}}{2*1}=\frac{35+5\sqrt{29}}{2} $

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